Information on Result #529843
There is no linear OA(280, 3857, F2, 16) (dual of [3857, 3777, 17]-code), because the Johnson bound shows that N ≤ 976 773417 528004 241378 043938 449741 508798 583884 231773 481935 751694 996196 044624 093339 503852 680180 547386 143179 345312 007370 074901 378402 511462 806133 410605 239468 351709 910920 693357 114167 885987 389963 526960 102612 135410 343446 789045 673618 453992 460307 794171 564054 054728 009846 735871 276664 594412 092035 009102 332829 771849 995634 442146 888846 346182 220163 433868 288596 746000 658268 184415 180575 938589 487608 991639 048758 427619 757252 159972 703407 170390 321894 213998 529441 624537 768887 446373 219975 662557 335962 113996 601411 045062 028787 589559 957348 746602 463570 751555 845872 491365 553001 011067 692128 885382 495505 590830 523358 727341 827604 781677 324170 762311 958809 041541 502758 099815 307278 196420 785111 941858 040604 057150 252412 076706 621167 386247 796060 387473 236485 298873 055719 623882 631125 079363 999972 902907 675334 974768 927331 355001 355603 526783 387176 852222 629245 977486 566598 383205 609259 350244 583924 087978 153929 164234 175348 425956 108783 638719 276796 209289 437674 001473 482619 007597 519570 555494 162509 567464 782928 188317 107117 329305 436694 329215 296345 063243 205098 067434 567435 888947 608626 536901 188880 123230 718060 640402 649368 678246 949102 757902 159479 957390 176598 937211 687834 693871 106512 520168 913790 < 23777
Mode: Bound (linear).
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(281, 3858, F2, 17) (dual of [3858, 3777, 18]-code) | [i] | Truncation | |